Matrix tools

Basic analysis. Enters several array formulas that together compute
some important properties of a population projection matrix -- such as the
generation times and eigenvalues and eigenvectors associated to the dominant
eigenvalue (giving the finite rate of increase, and stable age structure and
reproductive value).

Finite rate of increase. Enters formula for the dominant eigenvalue of
a population projection matrix.

Age distribution. Enters an array formula for the right
eigenvector associated to the dominant eigenvalue of a population projection
matrix.

Reproductive value. Enters an array formula for the left
eigenvector associated to the dominant eigenvalue of a population projection
matrix.

Matrix sensitivity. Enters an array formula for the sensitivity
of the dominant eigenvalue of a population projection matrix to small changes in
the elements of the matrix.

Matrix to row vector. Inserts a row of formulas pointing to the
entries in a matrix.

Matrix to column vector. Inserts a column of formulas pointing to the
entries in a matrix.

Matrix projection. Iterates a population projection matrix for a
certain number of steps. Similar to Numerical
projection but requires a fixed projection matrix and a state vector
as input.

Eigenanalysis. Enters an array formula for the eigenvalues (real and
imaginary parts) and associated eigenvectors of a square matrix.